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Geometric K-Homology of Flat D-Branes

Rui M. G. Reis·Richard J. Szabo
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Abstract

We use the Baum-Douglas construction of K-homology to explicitly describe various aspects of D-branes in Type II superstring theory in the absence of background supergravity form fields. We rigorously derive various stability criteria for states of D-branes and show how standard bound state constructions are naturally realized directly in terms of topological K-cycles. We formulate the mechanism of flux stabilization in terms of the K-homology of non-trivial fibre bundles. Along the way we derive a number of new mathematical results in topological K-homology of independent interest.

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Rui M. G. Reis, Richard J. Szabo. 2005-11-21. Geometric K-Homology of Flat D-Branes. https://doi.org/10.1007/s00220-006-0010-8

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